Find the height $ h $ of a rhombus if side $a = 3$ and angle $\alpha = 52^o$.
Answer
$h = 2.364$
Explanation
To find height $ h $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ h }{ a } $$After substituting $ \alpha = 52^o $ and $ a = 3 $ we have:
$$ \sin( 52^o ) = \dfrac{ h }{ 3 } $$ $$ 0.788 = \dfrac{ h }{ 3 } $$$$ h = 0.788 \cdot 3 $$$$ h = 2.364 $$This page was created using
Rhombus Calculator